Use the table to answer the question.

Age Weight
Line of Best Fit:

y^=5.5x+16
𝑦
^
=
5.5
𝑥
+
16

Residual
8 61 ?
?
1
What is the value for y^
𝑦
^
given the table?

(1 point)
Responses

59
59

70
70

68
68

60

1 answer

To find the value for \( \hat{y} \) (the predicted weight) using the equation of the line of best fit, you can substitute \( x \) (the age) into the equation \( \hat{y} = 5.5x + 16 \).

Given that the age \( x \) is 8:

\[ \hat{y} = 5.5(8) + 16 \] \[ \hat{y} = 44 + 16 \] \[ \hat{y} = 60 \]

So, the predicted value \( \hat{y} \) is 60.

The correct response is:

60